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scZoUnD [109]
3 years ago
12

When a potential difference of 10 V is placed across a certain solid cylindrical resistor, the current through it is 2 A. If the

diameter of this resistor is now 1/3 the original diameter, the current will be?
Physics
1 answer:
DaniilM [7]3 years ago
7 0

Answer:

Current would decrease 9 times.

Explanation:

Assume all others (potential difference U, resistivity ρ, and length L) are the same, only change in the diameter, we would have the following ratio

\frac{I_1}{I_2} = \frac{U/R_1}{U/R_2} = \frac{U}{U}\frac{R_2}{R_1} = \frac{\rho L/A_2}{\rho L / A_1} = \frac{\rho L}{\rho L}\frac{A_1}{A_2} = \frac{\pi d_1^2/4}{\pi d_2^2/4} = \frac{4\pi}{4\pi}\left(\frac{d_1}{d_2}\right)^2 = 3^2 = 9

I_2 = I_1/9

So the current would decrease 9 times.

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A train moving at a constant speed of 50.0 km/h moves east for 45.0 min, then in a direction 45.0° east of due north for 10.0 mi
Yuki888 [10]

Answer:

3.47km/h with a direction of 67.8 degrees north of west.

Explanation:

First we need to calculate the displacement on the X axis, so:

d_{x1}=50.0km/h*45min(\frac{1h}{60min})=37.5km\\d_{x2}=50.0km/h*10min(\frac{1h}{60min})*cos(45^o)=5.90km\\d_{x1}=-50.0km/h*55.0min(\frac{1h}{60min})=45.8km\\D_x=37.5+5.90-45.8=-2.4km

then on the Y axis:

D_y=50.0km/h*10min(\frac{1h}{60min})*sin(45^o)=5.90km

The magnitud of the displacement is given by:

D=\sqrt{D_x^2+D_y^2} \\D=6.37km

and the angle:

\alpha =arctg(\frac{5.90}{2.41})=67.8^o

that is 67.8 degrees north of west.

v=\frac{D}{t}\\v=\frac{6.37km}{110min*\frac{1h}{60min}}\\v=3.47km/h

8 0
3 years ago
Please help!!! give me a summary on why human population is either good or bad!! thank youu
bagirrra123 [75]
It is bad because humans are destroying the planet with pollution and cutting down natural habitats. This is not only killing the human population in the future, but as of right now they are killing animals, and trees. The human population is slowly destroying the planet.
7 0
2 years ago
An engineer is working on a new kind of wire product that is about the size of a bacterium cell. Which kind of technology is the
solong [7]

Microtechnology i hope this will help

4 0
3 years ago
Read 2 more answers
Economic growth can be illustrated by: a. ​ an inward shift of the production possibilities curve. b. ​ a movement along the pro
erastovalidia [21]

Answer:

Economic growth can be illustrated by:

d.  an outward shift of the production possibilities curve.

Explanation:

Economic growth is the process of increasing the economy's ability to produce goods and services. It is achieved by increasing the quantity or quality of resources.

Production Possibilities refers to the ability of a country to produce goods or services given the limited resources and technology.  It is therefore possible to increase production of both goods at the same time as long as resources allow it.

The Production Possibilities Curve, also known as the production possibilities frontier, is a graph that shows the maximum number of possible units a company can produce if it only produces two products using all of its resources efficiently. Firstly, and most commonly, growth is defined as an increase in the output that an economy produces over a period of time, the minimum being two consecutive quarters. An increase in an economy's productive potential can be shown by an outward shift in the economy's production possibility frontier (PPF).

Each point on the curve shows how much of each good will be produced when resources shift from making more of one good and less of the other. The curve measures the trade-off between producing one good versus another.PPC or production possibility curve is a curve whose basic purpose is to show the different possible combinations of two goods that can be produced within the given available resource.

The two main characteristics of PPC are: slopes downwards to the right: PPC slopes downwards from left to right. It is because in a situation of fuller utilization of the given resources, production of both the goods cannot be increased simultaneously.

6 0
2 years ago
A car transports its passengers between 3 buildings. It moves from the first building to the second building, 4.76km away, in a
BigorU [14]

Answer:

1) a = 6.14 km

2) b = 4.69 km

Explanation:

Let the first building be A, second building be B and third building be C.

Now, bearing of A = 4.76 km in a direction 37° north of east

Bearing of B = 69° west of north

Bearing of C = 28° east of south

Thus if this 3 points form a triangle, we will have the following angles;

Angle at point A = 28 + (90 - 37) = 81°

Angle at point B = 28 + (90 - 69) = 49°

Angle at point C = 180 - (81 + 49) = 50°

Now, the distance between second and third building is "a" which is represented by BC in the triangle attached while the given distance of 4.76 represents side AB. Thus;

Using sine rule, we can find "a".

a/sin 81 = 4.76/sin 50

a = 6.14 km

B) distance between first and third building is AB in the triangle depicted by "b".

Similar to the first problem, we will use sine rule again.

b/sin49 = 4.76/sin 50

b = 4.69 km

8 0
3 years ago
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